Results 21 to 30 of about 2,373 (157)

Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function

Mathematics
The notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion.
Ekram E. Ali, G. Oros, R. El-ashwah, A. Albalahi, Marwa Ennaceur   +4 more
semanticscholar   +3 more sources

A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz-Lerch Zeta Function

Symmetry, 2021
The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
semanticscholar   +2 more sources

Extended Wang sum and associated products. [PDF]

PLoS One, 2022
The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Reynolds R, Stauffer A.
europepmc   +2 more sources

Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function

Moroccan Journal of Pure and Applied Analysis, 2015
In the present paper, we give sufficient conditions for a function f to be in the subclasses $$ \sum S_{a,s}^*(A,\,B,\,\alpha ,\,\beta ) $$ and $$ \sum {\kappa _{a,\,s}}(A,\,B,\,\alpha ,\,\beta ) $$ of the class Σ of meromorphic functions which are ...
H. Srivastava, S. Gaboury, F. Ghanim
semanticscholar   +2 more sources

New Relations Involving an Extended Multiparameter Hurwitz‐Lerch Zeta Function with Applications

International Journal of Analysis, Volume 2014, Issue 1, 2014., 2014
We derive several new expansion formulas involving an extended multiparameter Hurwitz‐Lerch zeta function introduced and studied recently by Srivastava et al. (2011). These expansions are obtained by using some fractional calculus methods such as the generalized Leibniz rules, the Taylor‐like expansions in terms of different functions, and the ...
H. M. Srivastava, Sébastien Gaboury, Richard Tremblay, Shamsul Qamar   +3 more
wiley   +3 more sources

Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz-Lerch Zeta Function

Axioms
Fuzzy differential subordinations, a notion taken from fuzzy set theory and used in complex analysis, are the subject of this paper. In this work, we provide an operator and examine the characteristics of meromorphic functions in the punctured open unit ...
Ekram E. Ali, R. El-ashwah, A. Albalahi, R. Sidaoui   +3 more
semanticscholar   +3 more sources

Partial Sums of Generalized Class of Analytic Functions Involving Hurwitz‐Lerch Zeta Function [PDF]

Abstract and Applied Analysis, 2011
Let be the sequence of partial sums of the analytic function . In this paper, we determine sharp lower bounds for and . The usefulness of the main result not only provides the unification of the results discussed in the literature but also generates certain new results.
G. Murugusundaramoorthy, K. Uma, Maslina Darus   +2 more
openaire   +3 more sources

On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions

Mathematics, 2020
In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives.
Hiba Al-Janaby, Firas Ghanim, Maslina Darus   +2 more
doaj   +2 more sources

A certain subclass of univalent meromorphic functions defined by a linear operator associated with the Hurwitz-Lerch zeta function

Rad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti, 2019
In this paper, we study a linear operator related to Hurwitz-Lerch zeta function and hypergeometric function in the punctured unit disk. A certain subclass of meromorphically univalent functions associated with the above operator defined by the concept ...
F. Ghanim, H. Al-Janaby
semanticscholar   +3 more sources

Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties

مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.
Ahmed Ali Al-Gonah, Waleed Khadher Mohammed   +1 more
doaj   +2 more sources